document.write( "Question 313592: Grace read one quarter of a book on Monday. Tuesday she read one quarter
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document.write( "of the remaining pages. Wednesday she read one quarter of the pages she had
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document.write( "not yet read. Thursday she read the final 81 pages. How many pages are in the
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document.write( "book?\r
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document.write( "(A) 192 (B) 243 (C) 256 (D) 324 (E) 446
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Algebra.Com's Answer #224216 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Let the number pages in the book be x.\r \n" ); document.write( "\n" ); document.write( "day............. read...........balance................. Read next day \n" ); document.write( ".. \n" ); document.write( "mon............. x/4 .......... x-x/4 = 3x/4............. 3x/16 \n" ); document.write( ".. \n" ); document.write( "tues............ 3x/16..........3x/4-3x/16= 9x/16........ 9x/64 \n" ); document.write( ".. \n" ); document.write( "wed.............9x/64. \n" ); document.write( ".. \n" ); document.write( "Thur.............81 \n" ); document.write( "-------- \n" ); document.write( "x/4 +3x/16+9x/64 +81= x \n" ); document.write( "x/4 +3x/16+9x/64- x= -81 \n" ); document.write( "LCM 64 \n" ); document.write( "16x+12x+4x-64x / 64 = -81 \n" ); document.write( "-27x= -81*64 \n" ); document.write( "x= 192 \n" ); document.write( "The book has 192 pages. \n" ); document.write( " \n" ); document.write( " |